This page has been validated.
xii
Contents
Page | ||
---|---|---|
Section D. Logic of Relations | 244 | |
✱30. | Descriptive Functions | 245 |
✱31. | Converses of Relations | 251 |
✱32. | Referents and Relata of a given Term with respect to a given Relation | 255 |
✱33. | Domains, Converse Domains, and Fields of Relations | 260 |
✱34. | The Relative Product of two Relations | 269 |
✱35. | Relations with Limited Domains and Converse Domains | 278 |
✱36. | Relations with Limited Fields | 291 |
✱37. | Plural Descriptive Functions | 293 |
✱38. | Relations and Classes derived from a Double Descriptive Function | 311 |
Note to Section D | 314 | |
Section E. Products and Sums of Classes | 317 | |
✱40. | Products and Sums of Classes | 319 |
✱41. | The Product and Sum of a Class of Relations | 331 |
✱42. | Miscellaneous Propositions | 336 |
✱43. | The Relations of a Relative Product to its Factors | 319 |
Part II. Prolegomena to Cardinal Arithmetic. | ||
Summary of Part II | 345 | |
Section A. Unit Classes and Couples | 347 | |
✱50. | Identity and Diversity as Relations | 349 |
✱51. | Unit Classes | 356 |
✱52. | The Cardinal Number 1 | 363 |
✱53. | Miscellaneous Propositions involving Unit Classes | 368 |
✱54. | Cardinal Couples | 376 |
✱55. | Ordinal Couples | 383 |
✱56. | The Ordinal Number 2 | 395 |
Section B. Sub-Classes, Sub-Relations, and Relative Types | 404 | |
✱60. | The Sub-Classes of a given Class | 406 |
✱61. | The Sub-Relations of a given Realtion | 412 |
✱62. | The Relation of Membership of a Class | 414 |
✱63. | Relative Types of Classes | 419 |
✱64. | Relative Types of Relations | 429 |
✱65. | On the Typical Definition of Ambiguous Symbols | 434 |
Section C. One-Many, Many-One, and One-One Relations | 437 | |
✱70. | Relations whose Classes of Referents and of Relata belong to given Classes | 439 |
✱71. | One-Many, Many-One, and One-One Relations | 446 |
✱72. | Miscellaneous Propositions concerning One-Many, Many-One, and One-One Relations | 462 |
✱73. | Similarity of Classes | 476 |
✱74. | On One-Many and Many-One Relations with Limited Fields | 490 |